A tank has the shape of an inverted right circular cone of depth 5 meters and radius 2 meters. This is filled with water up to 1meter from the top. What is the amount of work required to pump all the water to a level 2 meters above the top of the tank? A W = 1568 (7-y) y² dy 4 B = f* (7-y) y² dy Sª 4 S* (7-y) y² dy √ (7-9) ( 12 )² 45 dy * | = W = 9800 T W = 1568 D none of the choices E W = 9800
A tank has the shape of an inverted right circular cone of depth 5 meters and radius 2 meters. This is filled with water up to 1meter from the top. What is the amount of work required to pump all the water to a level 2 meters above the top of the tank? A W = 1568 (7-y) y² dy 4 B = f* (7-y) y² dy Sª 4 S* (7-y) y² dy √ (7-9) ( 12 )² 45 dy * | = W = 9800 T W = 1568 D none of the choices E W = 9800
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A tank has the shape of an inverted right circular cone of depth 5 meters and radius 2 meters. This is filled with water up to 1 meter
from the top. What is the amount of work required to pump all the water to a level 2 meters above the top of the tank?
(A) W = 1568
==["
(7-y) y² dy
0
4
La-
B
W = 9800
(7-y) y² dy
0
4
(C) W = 1568
•Lo
(7-y) y² dy
(D) none of the choices
4
5
E
W
= 9800 T
[* 2 ) ²
(7-y)
dy
0
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